(2a+1)(2a+1)=

Solution for (2a+1)(2a+1)= equation:

Simplifying
(2a + 1)(2a + 1) = 0

Reorder the terms:
(1 + 2a)(2a + 1) = 0

Reorder the terms:
(1 + 2a)(1 + 2a) = 0

Multiply (1 + 2a) * (1 + 2a)
(1(1 + 2a) + 2a * (1 + 2a)) = 0
((1 * 1 + 2a * 1) + 2a * (1 + 2a)) = 0
((1 + 2a) + 2a * (1 + 2a)) = 0
(1 + 2a + (1 * 2a + 2a * 2a)) = 0
(1 + 2a + (2a + 4a2)) = 0

Combine like terms: 2a + 2a = 4a
(1 + 4a + 4a2) = 0

Solving
1 + 4a + 4a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(1 + 2a)(1 + 2a) = 0

Subproblem 1
Set the factor '(1 + 2a)' equal to zero and attempt to solve:

Simplifying
1 + 2a = 0

Solving
1 + 2a = 0

Move all terms containing a to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + -1 + 2a = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2a = 0 + -1
2a = 0 + -1

Combine like terms: 0 + -1 = -1
2a = -1

Divide each side by '2'.
a = -0.5

Simplifying
a = -0.5
Subproblem 2
Set the factor '(1 + 2a)' equal to zero and attempt to solve:

Simplifying
1 + 2a = 0

Solving
1 + 2a = 0

Move all terms containing a to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + -1 + 2a = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2a = 0 + -1
2a = 0 + -1

Combine like terms: 0 + -1 = -1
2a = -1

Divide each side by '2'.
a = -0.5

Simplifying
a = -0.5
Solution
a = {-0.5, -0.5}